Mass predictions, partial difference equations and higher-order isospin effects
The Garvey-Kelson mass relation has been extended by introducing inhomogeneous source terms to improve problems with long-range extrapolations. Such mass relations are third-order partial difference equations with solutions representing mass equations. It was found that inhomogeneous source terms based on shell-dependent Coulomb and symmetry energy terms are not sufficient to improve upon extrapolations. However, contributions from higher-order perturbations in isospin (mostly cubic) have a significant effect. A many-parameter mass equation was constructed as the solution of an inhomogeneous difference equation with properly adjusted shell-dependent source terms. The standard deviation for reproducing the experimental mass values is sigma/sub m/ = 194 keV. Nuclear contributions were subjected to the constraint of charge symmetry, and Coulomb displacement energies are reproduced with sigma/sub c/ = 41 keV. Mass predictions for over 4000 nuclei with A>16 and both Ngreater than or equal toZ and N
- Research Organization:
- The University of Michigan, Ann Arbor, Michigan 48109, USA
- OSTI ID:
- 5474234
- Report Number(s):
- CONF-870970-; TRN: 88-012623
- Journal Information:
- AIP Conf. Proc.; (United States), Vol. 164:1; Conference: 5. international conference on nuclei far from stability, Lake Rosseau, Canada, 14 Sep 1987
- Country of Publication:
- United States
- Language:
- English
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